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19962023
most citedScaling of Entanglement close to a Quantum Phase Transitions

1.9k citations · 4.9k across the 94 of their papers we have counts for

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12 papers · 1 filter

cond-mat.stat-mech2017★ 18 cited

Scaling of geometric phase versus band structure in cluster-Ising models

Wei Nie, Feng Mei, Luigi Amico +1

We study the phase diagram of a class of models in which a generalized cluster interaction can be quenched by Ising exchange interaction and external magnetic field. We characteriz…

cond-mat.stat-mech2013★ 28 cited

Local convertibility and the quantum simulation of edge states in many-body systems

Fabio Franchini, Jian Cui, Luigi Amico +5

In some many-body systems, certain ground state entanglement (Renyi) entropies increase even as the correlation length decreases. This entanglement non-monotonicity is a potential…

cond-mat.stat-mech2011★ 17 cited

Quantum discord in a spin system with symmetry breaking

Bruno Tomasello, Davide Rossini, Alioscia Hamma +1

We analyze the quantum discord Q throughout the low-temperature phase diagram of the quantum XY model in transverse field. We first focus on the T=0 order-disorder quantum phase tr…

cond-mat.stat-mech2009★ 20 cited

Entanglement and magnetic order

Luigi Amico, Rosario Fazio

In recent years quantum statistical mechanics have benefited of cultural interchanges with quantum information science. There is a bulk of evidence that quantifying the entanglemen…

cond-mat.stat-mech2008★ 3 cited

Adiabatic dynamics of a quantum critical system coupled to an environment: Scaling and kinetic equation approaches

Dario Patanè, Alessandro Silva, Luigi Amico +2

We study the dynamics of open quantum many-body systems driven across a critical point by quenching an Hamiltonian parameter at a certain velocity. General scaling laws are derived…

cond-mat.stat-mech2008★ 15 cited

Thermalization dynamics close to a quantum phase transition

Dario Patanè, Alessandro Silva, Fernando Sols +1

We investigate the dissipative dynamics of a quantum critical system in contact with a thermal bath. In analogy with the standard protocol employed to analyze aging, we study the r…

cond-mat.stat-mech2008★ 111 cited

Adiabatic dynamics in open quantum critical many-body systems

Dario Patanè, Alessandro Silva, Luigi Amico +2

The purpose of this work is to understand the effect of an external environment on the adiabatic dynamics of a quantum critical system. By means of scaling arguments we derive a ge…

cond-mat.stat-mech2006★ 116 cited

Divergence of the entanglement range in low dimensional quantum systems

L. Amico, F. Baroni, A. Fubini +3

We study the pairwise entanglement close to separable ground states of a class of one dimensional quantum spin models. At T=0 we find that such ground states separate regions, in t…

cond-mat.stat-mech2004★ 28 cited

Universality of the one dimensional Bose gas with delta interaction

Luigi Amico, Vladimir Korepin

We consider several models of interacting bosons in a one dimensional lattice. Some of them are not integrable like the Bose-Hubbard others are integrable. At low density all of th…

cond-mat.stat-mech2002★ 30 cited

Quasi-classical descendants of disordered vertex models with boundaries

Antonio Di Lorenzo, Luigi Amico, Kazuhiro Hikami +2

We study descendants of inhomogeneous vertex models with boundary reflections when the spin-spin scattering is assumed to be quasi--classical. This corresponds to consider certain…

cond-mat.stat-mech2000★ 38 cited

The BCS model and the off shell Bethe ansatz for vertex models

Luigi Amico, G. Falci, Rosario Fazio

We study the connection between the BCS pairing model and the inhomogeneous vertex model. The two spectral problems coincide in the quasi-classical limit of the off-shell Bethe Ans…

cond-mat.stat-mech2000★ 6 cited

Algebraic equivalence between certain models for superfluid--insulator transition

Luigi Amico

Algebraic contraction is proposed to realize mappings between models Hamiltonians. This transformation contracts the algebra of the degrees of freedom underlying the Hamiltonian. T…